Write an equation and find the missing angle.

Answer:

At the moment in question, we have a 5-12-13 right triangle.

x^2 + y^2 = 13^2

2x dx/dt + 2y dy/dt = 0

2(5)(2/3) + 2(12) dy/dt = 0

dy/dt = -5/18 ft/s

the area is 1/2 xy, so

da/dt = 1/2 y dx/dt + 1/2 x dy/dt

= (1/2)((12)(2/3) + (5)(-5/18))

= 119/36

Step-by-step explanation:

Answer:

Step-by-step explanation:

All you need to simplify most expressions is basic arithmetic -- addition, subtraction, multiplication, and division -- and the order of operations.

Answer: 7.5 each

Step-by-step explanation:

15/2

Answer:

triangle UTS~∆UED by AAA axiom

Answer:

(0,29)

Step-by-step explanation:

To find the y-intercept, substitute in

0 for x and solve for y OR use a graphing calculator.

Answer:

Answer is C hope this helps

Step-by-step explanation:

Hi there!

[tex]\large\boxed{f(-3) =22 }}[/tex]

Find f(-3) by substituting in -3 for x:

f(x) = 3|2x - 4| - 8

f(-3) = 3|2(-3) - 4| - 8

Simplify:

f(-3) = 3|-6 - 4| - 8

f(-3) = 3|-10| - 8

f(-3) = 3(10) - 8 = 22

Answer:

[tex]5 \div 6 \times 5 = 25\div 6[/tex]

Answer:

Step-by-step explanation:

(x^3) (12x)

(x^4)(12)

12x^4

We can really find the exponent without knowing what x is equal to but I hope this helps

Answer:

46

Step-by-step explanation:

Answer:

4.18 inch^3

Step-by-step explanation:

use the sphere volume formula :

V = (4/3)*pi*r^3

the radius of this sphere is 2/2 = 1 ( diameter / 2)

plugging in the values :

V = (4/3)*3.1415*1^3 = 4.18

Answer:

D) 96 is closest

Step-by-step explanation:

12x7=84

1/2(8)(4)=16

84+16=100

A = 30

B = 45

C = 160

D = 96

Answer:

Set D

Step-by-step explanation:

There's 2 different y-values for the x value, 2 in Set D

Answer: B

Step-by-step explanation:

2(—2) + 10 = 6.

2(0) + 6 = 6.

2(2) + 2 = 6.

2(4) + (—2) = 6

Answer:

70

Step-by-step explanation:

saveings +70 the money she added to the money he or she saved

Answer:

400

Step-by-step explanation:

The two is less than 5 so it becomes 0 and so does the 7

Answer:c

Step-by-step explanation:cccccc

Answer:

10^-99

10^-17

10^-5

10⁵

10¹⁴

10³⁰

Answer:

y=-4x-5

Step-by-step explanation:

as considering (x,y) as(-2,3)this shows the perpendicularity

Answer:

602 in^2

Step-by-step explanation:

To find volume, multiply length, width, and height. In this case, it is 5, 14, and 8 3/5. I used a calculator, but if not, solve it using regular multiplication. First 5 times 14 since that is easier to get out of the way, then 8 3/5, and it is easiest to treat a fraction as a decimal when multiplying, in this case it would be 0.6. I am not going to explain how I got that since you were asking how to find volume.

Answer:

B) rhombus

Step-by-step explanation:

the tic marks on the lines indicate that they are congruent, not parallel there is no way of knowing for sure that those lines are parallel therefore it is not a parallelogram even though it looks like it  

Answer:

no

Step-by-step explanation:

Hello There!

We can figure out if the given side lengths form a right triangle using the Pythagorean Theorem

The Pythagorean Theorem states that the hypotenuse (longest side) squared equal to sum of the two legs squared

so if it is a right triangle then

[tex]74^2=71^+24^2[/tex]

[tex]74^2=5476\\71^2=5041\\24^2=576\\5041+576=5617\\5476\neq 5617[/tex]

5617 is not equal to 5476 therefore the given side lengths do not form a right triangle

~TheMathWIz

Answer:

Use photo math, it will explain it all

First here's the expression written out a little clearer

[tex]3+(2+8)^2+4*(\frac{1}{2} )^4[/tex]

Parentheses: (2+8) = (10).

Exponents: 10^2 is 100, and [tex](\frac{1}{2} )^4[/tex] is [tex]\frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot\frac{1}{2} =[/tex] [tex]\frac{1}{16}[/tex]

Multiplication and division: 4 * 1/16 is [tex]\frac{4}{16}[/tex] or [tex]\frac{1}{4}[/tex] simplified

Addition and subtraction: Go left to right. 3 + 100 + [tex]\frac{1}{4}[/tex] = 103.25 (final answer)

Answer:

7

Step-by-step explanation:

Answer:

[tex]E(x) = \frac{1}{2}[/tex] -- Component A

[tex]E(x) = \frac{1}{3}[/tex] -- Component B

Step-by-step explanation:

Given

Distribution = Exponential

[tex]\lambda = 2[/tex] --- Component A

[tex]\lambda = 3[/tex] --- Component B

Solving (a): The mean time of A

The mean of an exponential distribution is:

[tex]E(x) = \frac{1}{\lambda}[/tex]

We have:

[tex]\lambda = 2[/tex] --- Component A

[tex]E(x) = \frac{1}{2}[/tex]

Solving (b): The mean time of B

The mean of an exponential distribution is:

[tex]E(x) = \frac{1}{\lambda}[/tex]

We have:

[tex]\lambda = 3[/tex] --- Component B

[tex]E(x) = \frac{1}{3}[/tex]

Answer:

t=13.28382 ≈ 13.3 years

It takes 13.3 years to amount $15700 from the principal $6500.

Given that, a person invests 6500 dollars in a bank. the bank pays 6.75% interest compounded semi-annually.

Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

The formula used to find the compound interest = A = P(1+r/n)^nt

Now, 15700 =6500(1+6.75/2×100)^2t

⇒ 15700/6500=(1+6.75/200)^2t

⇒ 15700/6500=1.03375^2t

⇒ 2.415=1.03375^2t

Take the logarithm of both sides of the equation to remove the variable from the exponent.

Exact Form:

t=ln(2.415)/2ln(1.03375)

Decimal Form:

t=13.28141707

≈ 13.3 years

Therefore, it takes 13.3 years to amount $15700 from the principal $6500.

To learn more about the compound interest visit:

https://brainly.com/question/14295570.

#SPJ2

Answer:

समांतर श्रेणी का प्रथम पद a = 2

[tex] t_{13}= 26[/tex]

Step-by-step explanation:

माना समांतर श्रेणी का प्रथम पद a और सामन्य अन्तर d है.

इसलिए..

[tex] S_6 = 42....(given) [/tex]

[tex]\therefore \frac{6}{2}\{2a + (6-1)d\}= 42 [/tex]

[tex]\therefore 3\{2a + 5d\}= 42 [/tex]

[tex]\therefore \{2a + 5d\}= \frac{42}{3} [/tex]

[tex]\therefore 2a + 5d=14...... (1)[/tex]

[tex] t_{10} : t_{30}= 1 : 3.....(given) [/tex]

[tex] \therefore \frac{t_{10}}{t_{30}} = \frac{1}{3} [/tex]

[tex] \therefore \frac{a +9d}{a+29d} = \frac{1}{3} [/tex]

[tex] 3(a + 9d) = a + 29d[/tex]

[tex] 3a + 27d = a + 29d[/tex]

[tex] 3a - a = 29d - 27d [/tex]

[tex] 2a= 2d [/tex]

[tex] a= d...... (2)[/tex]

समीकरण (1) और (2) से:

[tex]\therefore 2a + 5a=14[/tex]

[tex]\therefore 7a=14[/tex]

[tex]\therefore a=\frac{14}{7}[/tex]

[tex]\therefore a=2[/tex]

समांतर श्रेणी का प्रथम पद a = 2

a = d = 2... (समीकरण 2 से)

[tex] t_{13}= 2 + (13-1)2[/tex]

[tex] t_{13}= 2 + 12\times 2[/tex]

[tex] t_{13}= 2 + 24[/tex]

[tex] t_{13}= 26[/tex]

Answer:

A) The test statistic is approximately 7.5056

B) E. There is no evidence that diet is independent of backfat thickness

Step-by-step explanation:

The given data are;

The sample mean for pigs raised on Diet 1, [tex]\overline x_1[/tex] = 3.63 cm

The sample SD for pigs raised on Diet 1, s₁ = 0.29 cm

The number of pigs in the sample for pigs raised on Diet 1, n₁ = 18

The sample mean for pigs raised on Diet 2,  [tex]\overline x_2[/tex] = 3.37 m

The sample SD for pigs raised on Diet 2, s₂ = 0.25 cm

The number of pigs in the sample for pigs raised on Diet 2, n₂ = 18

The pooled SE = 0.09

A) The test statistic is given by the following formula;

[tex]t=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}-\dfrac{s _{2}^{2}}{n_{2}}}}[/tex]

Therefore, we have;

[tex]t=\dfrac{(3.63-3.37)}{\sqrt{\dfrac{0.29^{2} }{18}-\dfrac{0.25^{2}}{18}}} \approx 7.5056[/tex]

The test statistic, t ≈ 7.5056

B) The degrees of freedom, df = n₁ - 1 = 18 - 1 = 17

At a confidence level of 95%, the critical value is 2.11

Given that the value of the test statistics tic if larger than the critical value, the null hypothesis is rejected and there is a difference in the backfat of the pigs on different diet

Therefore, there is no evidence that diet is independent of backfat thickness

Answer:

X=10,503

Step-by-step explanation:

x+9=16×657

X+9=10,512

X=10,512-9

X=10,503

Answer:   x = 12

Step-by-step explanation:  

1. add 5x + 1x which will equal 6x so now your equation is:  6x + 6 = 78

2. subtract 6 from 78 to get 72:  6x = 72

3. divide 72 by 6x to get your answer 12

Answer:

x = 12

Step-by-step explanation:

6x + 6 = 78

6x = 78 - 6

6x = 72

x = 72 / 6

x = 12

Mam nadzieję, że to pomoże!